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Finding the Fourth Proportional to 560.86, 774.26 and 430.45

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Solution

The fourth proportional to 560.86, 774.26 and 430.45 is: 594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.86 : 774.26 = 430.45 : x
  2. Step 2: Convert to fraction form
    560.86/774.26 = 430.45/x
  3. Step 3: Cross multiply
    560.86x = 774.26 × 430.45
  4. Step 4: Simplify right side
    560.86x = 333,277.74
  5. Step 5: Solve for x
    x = 333,277.74/560.86
  6. Step 6: Final answer
    x = 594.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.